It's time designers stopped thinking of their work as pixels on a web page. Unlike tangible products, pixels aren't permanent and can change quickly -- but that's okay. Think of it as an opportunity to solidify the relationships of the people you design for.
Consider Facebook: it's content and user-base continue to grow, despite numerous design changes. Because the design encourages users to build something great, the site's pixels continue to be overwritten, but it's message remains the same.
Designers should use their work to build relationships with companies, coworkers, customers, organizations, etc. That way, when the pixels are gone, the relationships still remain strong.